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Total resummation of leading logarithms vs standard description of the Polarized DIS

B. I. Ermolaev·M. Greco·S. I. Troyan
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Abstract

Total resummation of leading logarithms of x contributing to the spin-dependent structure function g_1 ensures its steep rise at small x. DGLAP lacks such a resummation. Instead, the DGLAP expressions for g_1 are complemented with special phenomenological fits for the initial parton densities. The singular factors x^{-α} in the fits mimic the resummation and also ensure the steep (power-like) rise of g_1 at the small-x region. Furthermore, DGLAP by definition cannot describe the region of small Q^2 whereas our approach can do it.

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B. I. Ermolaev, M. Greco, S. I. Troyan. 2006-10-30. Total resummation of leading logarithms vs standard description of the Polarized DIS. https://arxiv.org/abs/hep-ph/0610410

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